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Rojony Khatun Author
Rojony Khatun
CalculatorToolsProjectExpert
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Małgorzata Koperska, MD Steven Wooding
Last updated: January 17, 2026

Armature Voltage Calculator for DC Motor: Formula & Examples

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Armature Voltage Calculator for DC Motor

Easily calculate armature voltage for DC motors using speed, torque, current, and resistance. Includes formulas, examples, and a step-by-step guide.

torque and armature voltage relation

The armature (terminal) voltage of a DC motor can be computed by: V a = E b + I a R a. Calculate back-EMF Eb at speed: E b = k e o, being able to find its speed (omega) = rad/s or E b = (k e n) at speed = rpm, depending on your constant. Assuming that torque and motor constant are known, obtain I a = T / k t and then V a = E b + (T/k t) R a.

Formula & Table Summary:

FormulaDescription
Vtotal = N × VcellTotal voltage in series
Vtotal = VcellTotal voltage in parallel

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The Battery Voltage Calculator is used to calculate system voltage of a series or parallel battery connection with fast results.

parallel battery voltage

No. of BatteriesVoltage per Cell (V)Connection TypeTotal Voltage (V)
212Series24
312Parallel12
46Series24
62Series12

Frequently Asked Questions - Armature Voltage Calculator for DC Motor:

What is armature voltage in a DC motor?

It is the voltage applied to the motor’s armature winding, equal to back EMF plus armature current times resistance.

How do you calculate armature voltage?

Use Va = Eb + Ia·Ra, where Eb is back EMF, Ia is armature current, and Ra is armature resistance.

What is back EMF in a DC motor?

Back EMF is the voltage generated by the motor’s rotation that opposes the applied armature voltage.

How do you calculate back EMF?

Eb = ke·ω or Eb = ke_r·n, where ke is motor constant, ω is angular speed, and n is rpm.

What is the relation between torque and current?

Torque T = kt·Ia, so armature current Ia = T / kt when flux is constant.

What happens if armature resistance is high?

Higher Ra increases voltage drop (Ia·Ra), reducing motor efficiency and speed.

Can you find speed from armature voltage?

Yes, Eb = Va − Ia·Ra; then speed n = Eb / ke_r.

Why is armature voltage important?

It controls the motor speed and performance by balancing back EMF and resistive drop.

What units are used for armature voltage?

Armature voltage is measured in volts (V).

Is armature voltage the same as supply voltage?

Not always, because supply voltage equals back EMF plus the Ia·Ra voltage drop.

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Rojony Khatun

Rojony Khatun

Calculator Tools Project

Rojony Khatun is the creator of a free online tools website designed to simplify everyday and engineering-related calculations for students, professionals, and hobbyists. The platform offers a wide variety of basic and advanced calculators across key categories, including Electrical Calculators, Electronic Calculators, and Time & Date Calculators, helping users solve problems quickly and accurately.